{"id":"https://openalex.org/W2608848358","doi":"https://doi.org/10.1080/00401706.2017.1321583","title":"Efficient Sparse Estimate of Sufficient Dimension Reduction in High Dimension","display_name":"Efficient Sparse Estimate of Sufficient Dimension Reduction in High Dimension","publication_year":2017,"publication_date":"2017-04-27","ids":{"openalex":"https://openalex.org/W2608848358","doi":"https://doi.org/10.1080/00401706.2017.1321583","mag":"2608848358"},"language":"en","primary_location":{"id":"doi:10.1080/00401706.2017.1321583","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2017.1321583","pdf_url":null,"source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100363077","display_name":"Xin Chen","orcid":"https://orcid.org/0000-0002-5168-4823"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xin Chen","raw_affiliation_strings":["Department of Statistics and Applied Probability, National University of Singapore","Department of Statistics and Applied Probability, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Applied Probability, National University of Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Statistics and Applied Probability, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028435036","display_name":"Wenhui Sheng","orcid":null},"institutions":[{"id":"https://openalex.org/I102461120","display_name":"Marquette University","ror":"https://ror.org/04gr4te78","country_code":"US","type":"education","lineage":["https://openalex.org/I102461120"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wenhui Sheng","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Marquette University","Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Marquette University","institution_ids":["https://openalex.org/I102461120"]},{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI","institution_ids":["https://openalex.org/I102461120"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059589977","display_name":"Xiangrong Yin","orcid":"https://orcid.org/0000-0001-9102-8647"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiangrong Yin","raw_affiliation_strings":["Department of Statistics, University of Kentucky","Department of Statistics, University of Kentucky, Lexington, KY"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Kentucky","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"Department of Statistics, University of Kentucky, Lexington, KY","institution_ids":["https://openalex.org/I143302722"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059589977"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":null,"apc_paid":null,"fwci":0.7287,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.74059155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"60","issue":"2","first_page":"161","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10594","display_name":"Genetic and phenotypic traits in livestock","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sufficient-dimension-reduction","display_name":"Sufficient dimension reduction","score":0.8071579933166504},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.7060328722000122},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6125878691673279},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5454677939414978},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5089554786682129},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4705895483493805},{"id":"https://openalex.org/keywords/slicing","display_name":"Slicing","score":0.4603256285190582},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4558587670326233},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43944570422172546},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42988321185112},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41601377725601196},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.41521790623664856},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4145009517669678},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34128767251968384},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23946082592010498},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1618621051311493}],"concepts":[{"id":"https://openalex.org/C27931671","wikidata":"https://www.wikidata.org/wiki/Q7634497","display_name":"Sufficient dimension reduction","level":3,"score":0.8071579933166504},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.7060328722000122},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6125878691673279},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5454677939414978},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5089554786682129},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4705895483493805},{"id":"https://openalex.org/C2776190703","wikidata":"https://www.wikidata.org/wiki/Q488148","display_name":"Slicing","level":2,"score":0.4603256285190582},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4558587670326233},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43944570422172546},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42988321185112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41601377725601196},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.41521790623664856},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4145009517669678},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34128767251968384},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23946082592010498},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1618621051311493},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00401706.2017.1321583","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2017.1321583","pdf_url":null,"source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"},{"id":"pmh:oai:epublications.marquette.edu:math_fac-1116","is_oa":false,"landing_page_url":"https://epublications.marquette.edu/math_fac/117","pdf_url":null,"source":{"id":"https://openalex.org/S4306401682","display_name":"e-Publications@Marquette (Marquette University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102461120","host_organization_name":"Marquette University","host_organization_lineage":["https://openalex.org/I102461120"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical and Statistical Science Faculty Research and Publications","raw_type":"text"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/143062","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/143062","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W291003596","https://openalex.org/W1913335695","https://openalex.org/W1977085253","https://openalex.org/W1995181408","https://openalex.org/W2006661834","https://openalex.org/W2010361836","https://openalex.org/W2012801463","https://openalex.org/W2020925091","https://openalex.org/W2023205960","https://openalex.org/W2028690350","https://openalex.org/W2029469881","https://openalex.org/W2029800393","https://openalex.org/W2036876646","https://openalex.org/W2045512849","https://openalex.org/W2053225089","https://openalex.org/W2068752849","https://openalex.org/W2072320681","https://openalex.org/W2074682976","https://openalex.org/W2086014844","https://openalex.org/W2090965439","https://openalex.org/W2091794125","https://openalex.org/W2098361145","https://openalex.org/W2134354950","https://openalex.org/W2135046866","https://openalex.org/W2138019504","https://openalex.org/W2144405862","https://openalex.org/W2145979309","https://openalex.org/W2154560360","https://openalex.org/W2162942021","https://openalex.org/W2163490846","https://openalex.org/W2164092415","https://openalex.org/W2165161097","https://openalex.org/W2171050905","https://openalex.org/W2176424285","https://openalex.org/W3098152487","https://openalex.org/W3102710212","https://openalex.org/W3102927666","https://openalex.org/W3106063097","https://openalex.org/W3123841035","https://openalex.org/W3173138228","https://openalex.org/W4238306122"],"related_works":["https://openalex.org/W1976207164","https://openalex.org/W2811379001","https://openalex.org/W2098495410","https://openalex.org/W2080981338","https://openalex.org/W179183578","https://openalex.org/W2567488862","https://openalex.org/W2747414702","https://openalex.org/W2565236036","https://openalex.org/W2342269520","https://openalex.org/W2104290831"],"abstract_inverted_index":{"In":[0],"this":[1,166],"article,":[2],"we":[3],"propose":[4],"a":[5,45],"new":[6],"efficient":[7],"sparse":[8],"estimate":[9],"(ESE)":[10],"in":[11,44,154],"sufficient":[12],"dimension":[13],"reduction":[14],"using":[15],"distance":[16],"covariance.":[17],"Our":[18],"method":[19,67,109],"is":[20,77,124,149],"model-free":[21],"and":[22,76,101,134,142,160],"does":[23],"not":[24],"need":[25],"any":[26],"kernel":[27],"function":[28],"or":[29],"slicing":[30],"selection.":[31],"Moreover,":[32],"it":[33,42,103],"can":[34,68,104],"naturally":[35],"deal":[36],"with":[37,58],"multivariate":[38],"response":[39],"scenarios,":[40],"making":[41],"appealing":[43],"modified":[46],"sequential":[47],"algorithm":[48],"that":[49,61,107,151],"targets":[50],"the":[51,74,81,84,117,128,140,145,152],"large":[52],"p":[53],"small":[54],"n":[55],"problems.":[56],"Compared":[57],"screening":[59,91],"procedures":[60,92],"only":[62],"use":[63],"marginal":[64],"utility,":[65],"our":[66,108],"extract":[69],"more":[70],"useful":[71],"information":[72],"from":[73],"data":[75,137,157],"capable":[78],"of":[79,83,90,144],"determining":[80],"size":[82],"selected":[85],"submodel":[86],"automatically":[87],"while":[88],"most":[89],"cannot.":[93],"Under":[94],"mild":[95],"conditions,":[96],"based":[97],"on":[98],"manifold":[99],"theories":[100],"techniques,":[102],"be":[105],"shown":[106],"would":[110],"perform":[111],"asymptotically":[112],"as":[113,115,127],"well":[114],"if":[116],"true":[118],"irrelevant":[119],"predictors":[120],"were":[121],"known,":[122],"which":[123],"referred":[125],"to":[126],"oracle":[129],"property.":[130],"Extensive":[131],"simulation":[132],"studies":[133],"two":[135],"real":[136],"examples":[138],"demonstrate":[139],"effectiveness":[141],"efficiency":[143],"proposed":[146],"approach.":[147],"It":[148],"remarkable":[150],"analysis":[153],"cardiomyopathy":[155],"microarray":[156],"reveals":[158],"distinct":[159],"interesting":[161],"findings.":[162],"Supplemental":[163],"materials":[164],"for":[165],"article":[167],"are":[168],"available":[169],"online.":[170]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
